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Finding the Fourth Proportional to 243,620.40, 336,188.52 and 141,654

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Solution

The fourth proportional to 243,620.40, 336,188.52 and 141,654 is: 195,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,620.40 : 336,188.52 = 141,654 : x
  2. Step 2: Convert to fraction form
    243,620.40/336,188.52 = 141,654/x
  3. Step 3: Cross multiply
    243,620.40x = 336,188.52 × 141,654
  4. Step 4: Simplify right side
    243,620.40x = 47,622,448,612.08
  5. Step 5: Solve for x
    x = 47,622,448,612.08/243,620.40
  6. Step 6: Final answer
    x = 195,478.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.